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Parametric generalization of the Meyer-König-Zeller operators

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  • Sofyalıoğlu, Melek
  • Kanat, Kadir
  • Çekim, Bayram

Abstract

The current paper deals with the parametric modification of Meyer-König-Zeller operators which preserve constant and Korovkin’s other test functions in the form of (x1−x)u, u=1,2 in limit case. The uniform convergence of the newly defined operators is investigated. The rate of convergence is studied by means of the modulus of continuity and by the help of Peetre-K functionals. Also, a Voronovskaya type asymptotic formula is given. Finally, some numerical examples are illustrated to show the effectiveness of the newly constructed operators for computing the approximation of function.

Suggested Citation

  • Sofyalıoğlu, Melek & Kanat, Kadir & Çekim, Bayram, 2021. "Parametric generalization of the Meyer-König-Zeller operators," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007712
    DOI: 10.1016/j.chaos.2021.111417
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    References listed on IDEAS

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    1. Ali Özarslan, M. & Duman, Oktay, 2009. "Approximation theorems by Meyer-König and Zeller type operators," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 451-456.
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